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Simplifying 6y = -3x + 12fory Reorder the terms: 6y = 12fory + -3x Solving 6y = 12fory + -3x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12fory' to each side of the equation. -12fory + 6y = 12fory + -12fory + -3x Combine like terms: 12fory + -12fory = 0 -12fory + 6y = 0 + -3x -12fory + 6y = -3x Reorder the terms: -12fory + 3x + 6y = -3x + 3x Combine like terms: -3x + 3x = 0 -12fory + 3x + 6y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4fory + x + 2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4fory + x + 2y)' equal to zero and attempt to solve: Simplifying -4fory + x + 2y = 0 Solving -4fory + x + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1x' to each side of the equation. -4fory + x + -1x + 2y = 0 + -1x Combine like terms: x + -1x = 0 -4fory + 0 + 2y = 0 + -1x -4fory + 2y = 0 + -1x Remove the zero: -4fory + 2y = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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